Synthesis of atmospheric turbulence point spread functions by sparse and redundant representations
Synthesis of atmospheric turbulence point spread functions by sparse and redundant representations
复制标题
通过稀疏和冗余表示合成大气湍流点扩散函数
DOI：
10.1117/1.oe.57.2.024101
复制
发表时间：
2018
影响因子：
1.3
通讯作者：
M. Rucci
中科院分区：
文献类型：
--
作者：
B. Hunt;A. Iler;Christopher A. Bailey;M. Rucci
摘要。大气湍流是通过长倾斜范围、水平范围路径或通过大气俯视天文案例成像的基本问题。大气湍流的一个基本特征是点扩散函数（PSF）。湍流图像可以模拟研究基本问题，如图像质量和图像恢复，通过合成所需属性的psf。本文报道了一种合成大气湍流psf的方法。该方法使用了稀疏和冗余表示的最新发展。从测量的大气psf训练集，我们构建了表征大气湍流psf的“基函数”字典。通过对字典元素进行适当的加权组合，可以从这个字典合成一个PSF。我们公开了一种从字典中合成psf的算法。该算法合成psf的计算时间比传统的波光学传播方法缩短了3个数量级。由此产生的psf也被证明是用于构建字典的湍流条件的统计代表。
Abstract. Atmospheric turbulence is a fundamental problem in imaging through long slant ranges, horizontal-range paths, or uplooking astronomical cases through the atmosphere. An essential characterization of atmospheric turbulence is the point spread function (PSF). Turbulence images can be simulated to study basic questions, such as image quality and image restoration, by synthesizing PSFs of desired properties. In this paper, we report on a method to synthesize PSFs of atmospheric turbulence. The method uses recent developments in sparse and redundant representations. From a training set of measured atmospheric PSFs, we construct a dictionary of “basis functions” that characterize the atmospheric turbulence PSFs. A PSF can be synthesized from this dictionary by a properly weighted combination of dictionary elements. We disclose an algorithm to synthesize PSFs from the dictionary. The algorithm can synthesize PSFs in three orders of magnitude less computing time than conventional wave optics propagation methods. The resulting PSFs are also shown to be statistically representative of the turbulence conditions that were used to construct the dictionary.